What is the surface area of the net of the triangular prism
5cm
5cm
4cm
5cm
10cm
5cm
5cm
4cm
5cm
10cm
The surface area of the net of the triangular prism can be calculated by finding the area of each face and adding them together.
There are three rectangular faces and two triangular faces on the net of the prism.
The three rectangular faces have dimensions:
1. 5cm x 5cm
2. 4cm x 10cm
3. 5cm x 10cm
The two triangular faces are right triangles with base and height:
1. Base = 5cm, Height = 5cm
2. Base = 5cm, Height = 4cm
Now, calculate the area of each face:
1. Area of the first rectangular face = 5cm x 5cm = 25cm^2
2. Area of the second rectangular face = 10cm x 4cm = 40cm^2
3. Area of the third rectangular face = 10cm x 5cm = 50cm^2
4. Area of the first triangular face = (1/2) x 5cm x 5cm = 12.5cm^2
5. Area of the second triangular face = (1/2) x 5cm x 4cm = 10cm^2
Add all the areas together to find the total surface area of the net of the triangular prism:
25cm^2 + 40cm^2 + 50cm^2 + 12.5cm^2 + 10cm^2 = 137.5cm^2
Therefore, the surface area of the net of the triangular prism is 137.5cm^2.